{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import skfuzzy as fuzz\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "color_pallete = ['r','m','y','c', 'brown', 'orange','m','k', 'gray','purple','seagreen']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_centers = [[1, 1],\n",
    "           [2, 4],\n",
    "           [5, 8]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sigmas = [[0.5, 0.6],\n",
    "          [0.4, 0.5],\n",
    "          [0.1, 0.6]]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate test data\n",
    "np.random.seed(5)  \n",
    "\n",
    "\n",
    "xpts = np.zeros(1)\n",
    "ypts = np.zeros(1)\n",
    "labels = np.zeros(1)\n",
    "for i, ((xmu, ymu), (xsigma, ysigma)) in enumerate(zip(cluster_centers, sigmas)):\n",
    "    xpts = np.hstack((xpts, np.random.standard_normal(500) * xsigma + xmu))\n",
    "    ypts = np.hstack((ypts, np.random.standard_normal(500) * ysigma + ymu))\n",
    "    labels = np.hstack((labels, np.ones(500) * i))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the test data\n",
    "fig0, ax0 = plt.subplots()\n",
    "for label in range(5):\n",
    "    ax0.plot(xpts[labels == label], ypts[labels == label], '.')\n",
    "ax0.set_title('Data set having 500 points.')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set up the loop and plot\n",
    "fig1, axes1 = plt.subplots(3, 3, figsize=(10, 10))\n",
    "alldata = np.vstack((xpts, ypts))\n",
    "fpcs = []\n",
    "\n",
    "for ncenters, ax in enumerate(axes1.reshape(-1), 2):\n",
    "    cntr, u, u0, d, jm, p, fpc = fuzz.cluster.cmeans(\n",
    "        alldata, ncenters, 2, error=0.005, maxiter=1000, init=None)\n",
    "\n",
    "    # Store fpc values for later\n",
    "    fpcs.append(fpc)\n",
    "\n",
    "    # Plot assigned clusters, for each data point in training set\n",
    "    cluster_membership = np.argmax(u, axis=0)\n",
    "    for j in range(ncenters):\n",
    "        ax.plot(xpts[cluster_membership == j],\n",
    "                ypts[cluster_membership == j], '.', color=colors[j])\n",
    "\n",
    "    # Mark the center of each fuzzy cluster\n",
    "    for pt in cntr:\n",
    "        ax.plot(pt[0], pt[1], 'rs')\n",
    "\n",
    "    ax.set_title('cluster_centers = {0}; FPC = {1:.2f}'.format(ncenters, fpc), size=12)\n",
    "    ax.axis('off')\n",
    "\n",
    "fig1.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig2, ax2 = plt.subplots()\n",
    "ax2.plot(np.r_[2:11], fpcs, color='#731810')\n",
    "ax2.set_title(\"How Number of Clusters Change FPC?\")\n",
    "ax2.set_xlabel(\"Number of cluster_centers\")\n",
    "ax2.set_ylabel(\"Fuzzy partition coefficient\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "data = pd.read_csv('vehicle.csv')\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = data.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=2)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "kmeans = KMeans(n_clusters=2)\n",
    "kmeans.fit(data)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "pred = kmeans.predict(data)\n",
    "frame = pd.DataFrame(data)\n",
    "frame['cluster'] = pred\n",
    "\n",
    "color=['red','blue','orange', 'brown', 'green']\n",
    "for k in range(0,5):\n",
    "    data = frame[frame[\"cluster\"]==k]\n",
    "    plt.scatter(data[\"compactness\"],data[\"circularity\"],c=color[k])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# training gaussian mixture model \n",
    "from sklearn.mixture import GaussianMixture\n",
    "gmm = GaussianMixture(n_components=2)\n",
    "gmm.fit(data)\n",
    "\n",
    "#predictions from gmm\n",
    "labels = gmm.predict(data)\n",
    "frame = pd.DataFrame(data)\n",
    "frame['cluster'] = labels\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "color=['red','blue','orange', 'brown', 'green']\n",
    "for k in range(0,5):\n",
    "    data = frame[frame[\"cluster\"]==k]\n",
    "    plt.scatter(data[\"compactness\"],data[\"circularity\"],c=color[k])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import SpectralClustering\n",
    "from sklearn.datasets import make_blobs\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_circles\n",
    "\n",
    "from numpy import random\n",
    "import numpy as np\n",
    "from sklearn.cluster import SpectralClustering, KMeans\n",
    "from sklearn.metrics import pairwise_distances\n",
    "from matplotlib import pyplot as plt\n",
    "import networkx as nx\n",
    "import seaborn as sns\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f96a241a4a8>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data, clusters = make_circles(n_samples=2000, noise=.01, factor=.3, random_state=5)\n",
    "plt.scatter(data[:,0], data[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f96a2508d30>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans = KMeans(init='k-means++', n_clusters=2)\n",
    "km_clustering = kmeans.fit(data)\n",
    "plt.scatter(data[:,0], data[:,1], c=km_clustering.labels_, cmap='prism', alpha=0.5, edgecolors='g')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/vaibhavverdhan/anaconda3/lib/python3.6/site-packages/sklearn/manifold/_spectral_embedding.py:245: UserWarning: Graph is not fully connected, spectral embedding may not work as expected.\n",
      "  warnings.warn(\"Graph is not fully connected, spectral embedding\"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f96a258a4a8>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectral = SpectralClustering(n_clusters=2, affinity='nearest_neighbors', random_state=5)\n",
    "sc_clustering = spectral.fit(data)\n",
    "plt.scatter(data[:,0], data[:,1], c=sc_clustering.labels_, cmap='prism', alpha=0.5, edgecolors='g')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f96a37ce6d8>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectral = SpectralClustering(n_clusters=2, affinity='rbf', random_state=5)\n",
    "sc_clustering = spectral.fit(data)\n",
    "plt.scatter(data[:,0], data[:,1], c=sc_clustering.labels_, cmap='prism', alpha=0.5, edgecolors='g')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
